Last night, Dave and Kathy both arrived at Pizza Palace at two different random times between 10:00 p.m. and midnight. They had agreed to wait exactly 15 minutes for each other to arrive before leaving. What is the probability that Dave and Kathy were together at Pizza Palace last night between 10:00 p.m. and midnight?
Problem (with solution by commenters) found here. I've never seen a problem like that in either my GRE materials or the GREs I've taken, so I can't vouch for how realistically GRE-ish the problem is. All I know is that the problem is intimidating.
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